Dynamic rewiring in small world networks

Details Dynamic rewiring in small world networks Dynamic rewiring in small world networks

2005-08-10

arxiv.org/abs/cond-mat/0508250v1

Phys. Rev. E (2005) 72, 066105

Physics

Condensed Matter

Disordered Systems and Neural Networks

21 pages, 5 figures

Scientific paper

10.1103/PhysRevE.72.066105

We investigate equilibrium properties of small world networks, in which both connectivity and spin variables are dynamic, using replicated transfer matrices within the replica symmetric approximation. Population dynamics techniques allow us to examine order parameters of our system at total equilibrium, probing both spin- and graph-statistics. Of these, interestingly, the degree distribution is found to acquire a Poisson-like form (both within and outside the ordered phase). Comparison with Glauber simulations confirms our results satisfactorily.

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